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Finding the Third Proportional to 82,363.50 and 139,866.75

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Solution

The third proportional to 82,363.50 and 139,866.75 is: 237,516.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,363.50 : 139,866.75 = 139,866.75 : x
  2. Step 2: Convert to fraction form
    82,363.50/139,866.75 = 139,866.75/x
  3. Step 3: Cross multiply
    82,363.50x = 139,866.75 × 139,866.75
  4. Step 4: Simplify right side
    82,363.50x = 19,562,707,755.56
  5. Step 5: Solve for x
    x = 19,562,707,755.56/82,363.50
  6. Step 6: Final answer
    x = 237,516.71

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These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.